399973541760 has 640 divisors, whose sum is σ = 1619265463200. Its totient is φ = 93270196224.

The previous prime is 399973541753. The next prime is 399973541761. The reversal of 399973541760 is 67145379993.

399973541760 is a `hidden beast` number, since 3 + 9 + 99 + 73 + 5 + 417 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399973541761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12788862 + ... + 12820098.

Almost surely, 2^399973541760 is an apocalyptic number.

399973541760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399973541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809632731600).

399973541760 is an abundant number, since it is smaller than the sum of its proper divisors (1219291921440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

399973541760 is a wasteful number, since it uses less digits than its factorization.

399973541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31300 (or 31279 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 399973541760 in words is "three hundred ninety-nine billion, nine hundred seventy-three million, five hundred forty-one thousand, seven hundred sixty".